Skip to main content

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 181))

  • 2073 Accesses

Abstract

In this paper, based on cellular automata, a virus spread model, is proposed to investigate the virus spreading in weighted scale-free networks. In this model, each node of the network can be in one of four states: susceptible, exposed, infective and recovered. The transition rate from S to E of each susceptible node is related to its neighbors’ states and its connected weights with neighbors. Through some useful results obtained by the analysis and simulations, we can understand virus spreading in weighted scale-free networks better.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albert, R., Barabasi, A.-L.: Statistical mechanics of complex networks. Reviews of Modern Physics 74, 47–97 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Newman, M.E.J.: Ego-centered networks and the ripple effect. Social Networks 25, 83–95 (2003)

    Article  Google Scholar 

  3. Dorogovtsev, S.N., Mendes, J.F.F.: Evolution of Networks: From Biological nets to the Internet and WWW. Oxford University Press, Oxford (2003)

    Book  Google Scholar 

  4. Marc, B., Alain, B., Romualdo, P.-S., Alessandro, V.: Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. Theoretical Biology 235, 275–288 (2005)

    Article  MathSciNet  Google Scholar 

  5. Yang, R., Wang, B.-H., Ren, J., Bai, W.-J., Shi, Z.-W., Wang, W.-X., Zhou, T.: Epidemic spreading on heterogeneous networks with identical infectivity. Physics Letters A 364, 189–193 (2007)

    Article  MATH  Google Scholar 

  6. Zhou, T., Liu, J.-G., Bai, W.-J., Chen, G., Wang, B.-H.: Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity. Physical Review E 74, 056109 (2006)

    Article  Google Scholar 

  7. Fu, X., Small, M., Walker, D.M., Walker, D.M.: Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization. Physical Review E 77, 036113 (2008)

    Article  MathSciNet  Google Scholar 

  8. Pastor-Satorras, R., Vespignani, A.: Evolution and Structures of the Internet: A Statistical Physics Approach. Cambridge University Press, Cambridge (2004)

    Book  Google Scholar 

  9. Fuentes, M.A., Kuperman, M.N.: Cellular automata and epidemiological models with spatial dependence. Physica A 267, 471–486 (1999)

    Article  Google Scholar 

  10. White, S.H., Rey, A.M.d., Sanchez, G.R.: Modeling epidemics using cellular automata. Applied Mathematics and Computation 186, 193–202 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Anderson, R.M., May, R.M.: Infectious Diseases of Humans: Dynamics and Control. Oxford University Press, Oxford (1992)

    Google Scholar 

  12. Wang, W.-X., Wang, B.-H., Hu, B., Yan, G., Ou, Q.: General dynamics of topology and traffic on weighted technological networks. Physical Review Letters 94(18), 188702 (2005)

    Article  Google Scholar 

  13. Barthelemy, M., Barrat, A., Pastor-Satorras, R., Vespignani, A.: Velocity and hierarchical spread of epidemic outbreaks in complex networks. Physical Review Letters 92, 178701 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, NN., Chen, GL. (2013). A Virus Spread Model Based on Cellular Automata in Weighted Scale-Free Networks. In: Yang, G. (eds) Proceedings of the 2012 International Conference on Communication, Electronics and Automation Engineering. Advances in Intelligent Systems and Computing, vol 181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31698-2_164

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31698-2_164

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31697-5

  • Online ISBN: 978-3-642-31698-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics